The ratio of nickel and zinc in an alloy is `2:5.` Find the amount of zinc in 56 g of alloy.

Answer

To solve the problem of finding the amount of zinc in 56 g of an alloy where the ratio of nickel to zinc is 2:5, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ratio**: The ratio of nickel to zinc is given as 2:5. This means that for every 2 parts of nickel, there are 5 parts of zinc.

2. **Total Parts in the Ratio**: Add the parts of the ratio together.
\[ \text{Total parts} = 2 + 5 = 7 \]

3. **Determine the Value of Each Part**: Since the total weight of the alloy is 56 g, we can find the value of one part by dividing the total weight by the total number of parts.
\[ \text{Value of one part} = \frac{56 \text{ g}}{7} = 8 \text{ g} \]

4. **Calculate the Amount of Zinc**: Since zinc corresponds to 5 parts in the ratio, we can calculate the amount of zinc by multiplying the value of one part by the number of parts for zinc.
\[ \text{Amount of zinc} = 5 \times 8 \text{ g} = 40 \text{ g} \]

5. **Final Answer**: The amount of zinc in 56 g of the alloy is 40 g.